Details

Time bar (total: 13.9s)

sample34.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
9.0ms256×pre80true

simplify33.0ms

Counts
1 → 1
Iterations
IterNodes
done64
464
361
238
118
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
85.0ms
(* a (+ (+ b c) d))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* a (+ (+ b c) d))

simplify2.3s

Counts
28 → 28
Iterations
IterNodes
done5012
34199
2662
1164
053

prune91.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ b c) a)
0.0b
(+ (* (+ b c) a) (* d a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative sum-log distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
19.0ms
(* (+ b c) a)
13.0ms
(+ (* (+ b c) a) (* d a))

series56.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (+ b c) a)
32.0ms
(+ (* (+ b c) a) (* d a))

simplify2.2s

Counts
41 → 41
Iterations
IterNodes
done5010
33381
2683
1200
071

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ b c))
0.0b
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
0.3b
(* (sqrt (+ b c)) a)
0.3b
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*l*
13×sqrt-prod
12×pow1
11×add-cbrt-cube add-exp-log
10×associate-*l/ add-cube-cbrt
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×distribute-lft-out
2×associate-*r/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
4 → 86
Calls
4 calls:
7.0ms
(sqrt (+ b c))
39.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
23.0ms
(* (sqrt (+ b c)) a)
48.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series212.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (+ b c))
64.0ms
(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
65.0ms
(* (sqrt (+ b c)) a)
44.0ms
(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify2.6s

Counts
98 → 98
Iterations
IterNodes
done5001
34897
21259
1416
0158

prune377.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (+ b c)) (* (* (sqrt (sqrt (+ b c))) (sqrt a)) (* (sqrt (sqrt (+ b c))) (sqrt a))))
0.4b
(* (sqrt (sqrt (+ b c))) (sqrt a))
0.4b
(* (sqrt (sqrt (+ b c))) (sqrt a))
0.5b
(* (* (sqrt (sqrt (+ b c))) (sqrt a)) (* (sqrt (sqrt (+ b c))) (sqrt a)))

rewrite614.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
90×pow1
62×pow-prod-down associate-*l/
51×sqrt-prod
42×add-sqr-sqrt
38×add-cbrt-cube add-exp-log
35×flip3-+ flip-+
32×frac-times
28×associate-*l*
25×sqrt-pow1 pow1/2
23×prod-exp cbrt-unprod
22×*-un-lft-identity
16×associate-*r/ add-cube-cbrt
14×associate-*r* unswap-sqr
11×sqrt-unprod
8×pow-prod-up
6×pow-sqr
4×*-commutative insert-posit16 add-log-exp
3×distribute-lft-out
2×pow-plus
1×pow2 rem-square-sqrt swap-sqr
Counts
4 → 194
Calls
4 calls:
380.0ms
(* (sqrt (+ b c)) (* (* (sqrt (sqrt (+ b c))) (sqrt a)) (* (sqrt (sqrt (+ b c))) (sqrt a))))
43.0ms
(* (sqrt (sqrt (+ b c))) (sqrt a))
44.0ms
(* (sqrt (sqrt (+ b c))) (sqrt a))
133.0ms
(* (* (sqrt (sqrt (+ b c))) (sqrt a)) (* (sqrt (sqrt (+ b c))) (sqrt a)))

series911.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (sqrt (+ b c)) (* (* (sqrt (sqrt (+ b c))) (sqrt a)) (* (sqrt (sqrt (+ b c))) (sqrt a))))
374.0ms
(* (sqrt (sqrt (+ b c))) (sqrt a))
376.0ms
(* (sqrt (sqrt (+ b c))) (sqrt a))
99.0ms
(* (* (sqrt (sqrt (+ b c))) (sqrt a)) (* (sqrt (sqrt (+ b c))) (sqrt a)))

simplify1.8s

Counts
206 → 206
Iterations
IterNodes
done5005
22422
1698
0252

prune961.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes325.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample784.0ms

Algorithm
intervals
Results
353.0ms8000×pre80true
259.0ms8000×body80valid